Another parent, Haruna Noma, said some of those caught were from two nearby villages of Kucheri and Danvuri, who had gone to Wanzamai to clear land for farming.
Residents said the gunmen had not yet made the ransom demands.
Amina Tsafe said that her daughter had also been abducted and that most of the children were between the ages of 12 and 17.
Kidnappers in Nigeria often hold their victims for months without paying a ransom and also demand that villagers pay a security fee to be allowed to farm and harvest their crops.
Nigeria’s military has been bombing bush camps used by armed gangs, but attacks have continued.